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Finding the Third Proportional to 39,021 and 59,259

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Solution

The third proportional to 39,021 and 59,259 is: 89,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,021 : 59,259 = 59,259 : x
  2. Step 2: Convert to fraction form
    39,021/59,259 = 59,259/x
  3. Step 3: Cross multiply
    39,021x = 59,259 × 59,259
  4. Step 4: Simplify right side
    39,021x = 3,511,629,081
  5. Step 5: Solve for x
    x = 3,511,629,081/39,021
  6. Step 6: Final answer
    x = 89,993.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.